Nurse was just a retailer,wasn't he? No telling who really made the saw,I suppose,except by examination of the details with known makers of saws.
Groves is also my favorite maker.
I wouldn't change the back,blade,or handle. You could straighten the back,but don't change it.
The LN saw handle needs more work: The curves on the bottom of the handle need to look like the Nurse's handle. Also,the LN's rounded over areas need to be MORE rounded over.
I can't get my thoughts written down this morning! Up too late last night with my broken foot.